Exceptional Coset Spaces and Unification in Six Dimensions
arXiv:hep-ph/0204358 · doi:10.1016/S0370-2693(02)02153-6
Abstract
The coset spaces E$_8$/SO(10)$\times$H$_F$ allow complex structures which can account for three quark-lepton generations including right-handed neutrinos. We show that in the context of supersymmetric SO(10) gauge theories in 6 dimensions they also provide the Higgs fields which are needed to break the electroweak and ${B-L}$ gauge symmetries, and to generate small neutrino masses via the seesaw mechanism.
10 pages, 1 figure